Use a significance level of α= 0.05 and use the given information for the following:

Required:
a. State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0.)
b. Without using technical terms or symbols, state a final conclusion that addresses the original claim.

Answer: y = 5x-2

Step-by-step explanation:

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below.

\((\stackrel{x_1}{-4}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{-1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-1}-\stackrel{y1}{4}}}{\underset{\textit{\large run}} {\underset{x_2}{0}-\underset{x_1}{(-4)}}} \implies \cfrac{-5}{0 +4} \implies \cfrac{ -5 }{ 4 } \implies - \cfrac{ 5 }{ 4 }\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{- \cfrac{ 5 }{ 4 }}(x-\stackrel{x_1}{(-4)}) \implies y -4 = - \cfrac{ 5 }{ 4 } ( x +4) \\\\\\ y-4=- \cfrac{ 5 }{ 4 }x-5\implies {\Large \begin{array}{llll} y=- \cfrac{ 5 }{ 4 }x-1 \end{array}}\)

The types of discontinuities are: removable discontinuity at x = -3 and vertical asymptotes at x = 0 and x = 3.

A. To find f(x) + g(x), we add the two functions together:

f(x) + g(x) = (x + 2)/(x^2 - 9) + 11/(x^2 + 3x)

To add these fractions, we need a common denominator. The common denominator in this case is (x^2 - 9)(x^2 + 3x). So, we rewrite the fractions with the common denominator:

f(x) + g(x) = [(x + 2)(x^2 + 3x) + 11(x^2 - 9)] / [(x^2 - 9)(x^2 + 3x)]

Simplifying the numerator:

f(x) + g(x) = (x^3 + 3x^2 + 2x^2 + 6x + 11x^2 - 99) / [(x^2 - 9)(x^2 + 3x)]

Combining like terms:

f(x) + g(x) = (x^3 + 16x^2 + 6x - 99) / [(x^2 - 9)(x^2 + 3x)]

B. To find the excluded values, we look for values of x that would make the denominators zero, as division by zero is undefined. In this case, the excluded values occur when:

(x^2 - 9) = 0  --> x = -3, 3

(x^2 + 3x) = 0 --> x = 0, -3

So, the excluded values are x = -3, 0, and 3.

C. To classify each type of discontinuity, we examine the excluded values and the behavior of the function around these points.

At x = -3, we have a removable discontinuity or hole since the denominator approaches zero but the numerator doesn't. The function can be simplified and defined at this point.

At x = 0 and x = 3, we have vertical asymptotes. The function approaches positive or negative infinity as x approaches these points, indicating a vertical asymptote.

Therefore, the types of discontinuities are: removable discontinuity at x = -3 and vertical asymptotes at x = 0 and x = 3.

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Answer:

1 7/12

Step-by-step explanation:

Answer:

1 7/12

Step-by-step explanation:

Firstly, I'm not a native speaker, nor do we do mathematics in English but I'll explain it as I could possibly

Let all the denominators be 12, so multiplying 1/6 with 2, becomes 2/12

3/4 becomes 9/12 (multiplying with 3)

2/3 becomes 8/12

Adding them you get 19/12,

after you divide 19 by 12, the remaining is 7,

so as in mixed numbers, it's 1 7/12.

Answer:10.2 inches

Step-by-step explanation:

we know that

In this problem we have two cases

First case

The given lengths are two legs of the right triangle

so

Applying the Pythagoras Theorem

Find the length of the hypotenuse

substitute

Second case

The given lengths are one leg and the hypotenuse

so

Applying the Pythagoras Theorem

Find the length of the other leg

substitute

Find the difference between the two possible lengths of the third side of the triangle

so

Answer:

The difference between the two possible lengths for the third side of the triangle is about 10.21 inches.

Step-by-step explanation:

We are given that the lengths of two sides of a right triangle is 12 inches and 15 inches.

And we want to find the difference between the two possible lengths of the third side.

In the first case, assume that neither 12 nor 15 is the hypotenuse of the triangle. Then our third side c must follow the Pythagorean Theorem:

\(a^2+b^2=c^2\)

Substitute in known values:

\((12)^2+(15)^2=c^2\)

Solve for c:

\(c=\sqrt{12^2+15^2}=\sqrt{369}=\sqrt{9\cdot 41}=3\sqrt{41}\)

In the second case, we will assume that one of the given lengths is the hypotenuse. Since the hypotenuse is always the longest side, the hypotenuse will be 15. Again, by the Pythagorean Theorem:

\(a^2+b^2=c^2\)

Substitute in known values:

\((12)^2+b^2=(15)^2\)

Solve for b:

\(b=\sqrt{15^2-12^2}=\sqrt{81}=9\)

Therefore, the difference between the two possible lengths for the third side is:

\(\displaystyle \text{Difference}=(3\sqrt{41})-(9)\approx 10.21\text{ inches}\)

Answer:

Step-by-step explanation:

A scalene triangle has no equal length sides. It also has no equal inside angles. These triangles can be acute (all angles less than 90°), right-angled (one angle is 90°), or obtuse (one angle is more than 90°).

According to the Dietary Guidelines for American 2015, you should limit your fat intake to 25% - 35% of your total calories. The correct option is B.

Food-based dietary guidelines also known as dietary guidelines are intended to serve as a foundation for public food and nutrition policies, health and agricultural policies, and nutrition education programs aimed at promoting healthy eating habits and lifestyles.

Calories are the units of energy released by your body when it digests and absorbs food. The higher the calorie content of a food, the more energy it can provide to your body. When you consume more calories than you require, your body stores the excess calories as fat. Even fat-free foods can be high in calories. In this case, the fay should not be more than 35%.

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Answer:

18 Liters of water

180 divided by 12 = 15

Hope this helps!

Answer:

mark me brainlist

Step-by-step explanation:

Answer:

the coordinate is (11,1)

The translation form of each shape is given as follows:

a) X to Z: (x, y) -> (x + 5, y + 2).

b) Z to X: (x, y) -> (x - 5, y - 2).

The four translation rules are defined as follows:

For the composition of translations, we add the coordinates, hence:

Hence the rule from X to Z is given as follows:

(x, y) -> (x + 5, y + 2).

From Z to X, we have the inverse rule, hence:

(x, y) -> (x - 5, y - 2).

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604.2 is the current price index number

The price index number is defined as the ratio of the current cost and the reference value, multiplied by 100.

Given:

Current value = $3.48,  Reference value: $0.576

Price index number = (3.48 / 0.576) x 100 = 604.2

Therefore, the current price index number is 604.2

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The first quantity (45g) as 60 percentage of second (75g).

A part of whole expressed in Hundredth. Percentage is a fraction of a number out of 100%. It can be in fraction or in decimal.

To convert the given percentage value in decimal, divide the given value by 100.

For example:

1. 50% in decimal or fraction will be 50/100 = 0.5.

2. 20% in decimal or fraction will be 20/100 = 0.2.

1. Finding the total amount from which we need to find the percent.

2. Dividing the required amount to find the percentage by total amount.

3. Multiply it by 100.

For example:

1. It rained 10 of the 30 days in April.

Percentage will be 10/30 = (1/3) x 100

Percentage = 33.33%

Here, we have given that:

Total amount = 75g

Required amount for percent = 45g

Now, to find the percentage:

Percentage = 45/75

Percentage = 0.6 x 100

Percentage = 60%

Hence,

The first quantity (45g) as 60 percentage of second (75g).

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Answer:

With the Pay-As-You-Go Calling Plan, licensed users can call out to numbers located in the country/region where their Microsoft 365 license is assigned to the user based on the user's location, and to international numbers in 196 countries/regions. Unlimited incoming minutes are included.

The total volume taken by the coins is 88.47 cubic inches, so the correct option is D.

The coins are cylinders with a radius of 1.4 inches and a height of 0.0625 inches.

Remember that the volume of a cylinder is given by:

volume = (height)*pi*(radius)^2

Where pi = 3.14

Then here the volume of each coin is:

V = (0.0625 in)*3.14*(1.4 in)^2 = 0.384 in³

And there are 230 coins, so the total volume is:

V = 230*0.384 in³ = 88.47 in³

So the correct option is D.

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Answer: D: 88.47 in³​

Step-by-step explanation: So what you want to do is first find the individual volume of the coins. Use the volume formula: V = πr^2h

Take 1.4 and times it by itself

1.4 x 1.4 = 1.96

Now multiply 1.96 by 0.0625

1.96 x 0.0625 = 0.1225

And times 0.1225 by pi, or in this case, 3.14

0.1225 x 3.14 = 0.38465

Now you have found the individual volume of each coin. You are trying to find how much space all of the coins take up together. The question says that there is 230 coins in total. So times 0.38465 by 230 to find how much space all the coins take up.

0.38465 x 230 = 88.4695 in³
Now round it to the nearest hundredth: 88.47 in³

That is your answer.

Also I took the same test and I picked 88.47 inches cubed and got it right.

Proof:

Have a good day :)))

Volume of pyramid with a square base, where the perimeter of the base is 6. 9 cm and the height of the pyramid is 2. 8 cm is 2.6cm^3

To find the volume of a pyramid, we need to use the formula V = (1/3)Bh, where B is the area of the base and h is the height of the pyramid. Since the base of the pyramid is a square, we can find its area by squaring the length of one of its sides, which we can calculate using the perimeter information provided.

The perimeter of the base is given as 6.9 cm, which means each side of the square has a length of 6.9/4 = 1.725 cm. Therefore, the area of the base is (1.725)^2 = 2.97656 cm^2.

Now that we have both the base area and height of the pyramid, we can plug them into the volume formula:

V = (1/3)(2.97656 cm^2)(2.8 cm)

V = 2.631 cm^3

Rounding to the nearest tenth, we get the final answer as V = 2.6 cm^3.

In summary, to find the volume of a pyramid with a square base, we need to calculate the area of the base using the perimeter information provided, and then use the formula V = (1/3)Bh. Once we have the volume, we can round it to the nearest tenth of a cubic centimeter.

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If the cost of making the dish is $6.75, and he wants to make a 33% profit on each dish he sells. adam's selling price is: $8.98.

Using this formula to find the selling price

Selling price = Cost price + (Cost price × Profit percentage)

Let plug in the formula

Selling price = $6.75 + ($6.75 × 33%)

Selling price = $6.75 + $2.2275

Selling price = $8.977

Selling price = $8.98 (Approximately)

Therefore the selling price is the amount of $8.98

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The input text which should be typed in to the field in order to get the desired result as required in the task content is; x^2 + 4sqrt(x+1)/5 - x^3.

Hence, it follows from the guidelines for writing fractions, square roots and exponents in the task content that the required input text is;

x^2 + 4sqrt(x+1)/5 - x^3.

On this note, it follows that, upon filling the input field with the text above, the required expression would be displayed as it's output.

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Answer:

\((x - 5)^2 + (y - 7)^2 = 13^2\)

or

\((x - 5)^2 + (y - 7)^2 = 169\)

Step-by-step explanation:

Well, the center origin of the circle is given (h,k) =  (5,7).

We have to find our radius as they gave us a point. from origin to the edge of the circle.

Using the formula: (x - h)^2 + (y - k)^2 = r^2

Plug in our (h,k) = (5,7) and (x,y) =  (10,19) to solve for radius.

(x - h)^2 + (y - k)^2 = r^2

(10 - (5))^2 + (19 - (7)^2 = r^2

(5)^2 + (12)^2 = r^2

25 + 144  = r^2

r^2 = 169

r = 13

Step-by-step explanation:

the answer is the image above

Answer:

x=3  and x=7

Step-by-step explanation:

x2 - 10x + 21=0

a=1, B=-10, c=21

delta= b2 - 4(ac)

if delta >0 => have two answer

x1= -b - _/delta / 2a = -(-10) - _/16 / 2.1 = 3

x2= -b + _/delta /2a = -(-10) + _/16 / 2.1= 7

Answer:

b. 4

c. 90⁰

Step-by-step explanation:

a. is in the diagram

Answer:

90

Step-by-step explanation:

Answer:

It seems like the chat transitioned to a different topic. However, based on the search results, it appears that the query was related to solving distance problems using linear equations. One common application of linear equations is in distance problems, where you can create and solve linear equations to find the distance between two points or the rate of travel. Here's an example problem:

Joe drove from city A to city B, which are 120 miles apart. He drove part of the distance at 60 miles per hour (mph) and the rest at 40 mph. If the entire trip took three hours, how many miles did he drive at each speed?

To solve this problem, you can use a system of two linear equations. Let x be the number of miles driven at 60 mph, and y be the number of miles driven at 40 mph. Then you have:

x + y = 120 (total distance is 120 miles) x/60 + y/40 = 3 (total time is 3 hours)

To solve for x and y, you can multiply the second equation by 120 to eliminate fractions and then use the first equation to solve for one of the variables. For example:

x/60 + 3y/120 = 3 x/60 + y/40 = 3 2x/120 + 3y/120 = 3 x/60 + y/40 = 3 x/60 = 3 - y/40 x = 180 - 3y/2 (from the first equation)

Substitute the expression for x into the second equation and solve for y:

x/60 + y/40 = 3 (180 - 3y/2)/60 + y/40 = 3 3 - 3y/160 + y/40 = 3 3 - 3y/160 = 2.75 -3y/160 = -0.25 y = 20

Substitute y = 20 into the expression for x to get:

x = 180 - 3y/2 x = 120

Therefore, Joe drove 120 - 20 = 100 miles at 60 mph and 20 miles at 40 mph.

Step-by-step explanation:

The graph of the linear inequality is given by the image presented at the end of the answer.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The function for this problem is given as follows:

y = -3x/4 + 2.

Hence the graph crosses the y-axis at y = 2, and when x increases by 4, y decays by 3.

The inequality is given as follows:

y < -3x/4 + 2.

Meaning that points below the dashed line are the solution to the inequality.

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Answer: 11 degrees F

If it was -12 and by noon it had risen 23 degrees  just add the two numbers together and you get 11 degrees F

The given table does not represent a function. The correct answer is D. No, because one x-value corresponds to two different y-values.

To determine if the table represents a function, we need to check if every x-value corresponds to exactly one y-value. Let's analyze the given table:

x | y

-------

O | 1

X | 4

2 | 3

3 | 2

3 | 5

4 |

5 |

From the table, we can see that the x-values are not unique. Both the values 3 and 4 appear twice in the x-column, but they have different corresponding y-values.

This violates the definition of a function, which states that each input (x-value) should have only one output (y-value).

Therefore, the given table does not represent a function.

The correct answer is D. No, because one x-value corresponds to two different y-values.

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Answer:

no lo sé no lo sé

Step-by-step explanation:

solo se que nada se